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3 years ago

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Mathematics

2 answers:

Sauron [17]3 years ago

3 0

Corresponding is the answer.

Effectus [21]3 years ago

3 0

<h2>Answer:</h2>

The acronym CPCTC stands for " Corresponding parts of congruent triangles are congruent. "

<h2>Step-by-step explanation:</h2>

CPCTC--

It is a rule which states that if any of the two triangles are congruent by any of the congruency such as ASA, RHS , SAS or SS then the remaining sides and the remaining angles which were not covered in the congruency are also congruent.

Also, the acronym is:

Corresponding parts of congruent triangles are congruent.

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Consuela is planning her 7-day vacation. She has budgeted $250 to rent a moped for the week. The rental company charges $10 a da

slega [8]

Answer:

The equation is $0.3x\leq 180$ and consuela can drive maximum 600 miles.

Step-by-step explanation:

Given:

Consuela Budget= $\$250$

Rental Company Charges = $\$10 \ per\ day$

Additional Cost = 30 cents per mile = $0.3 per miles.

Number of days for vacation = 7

We need to find the number of miles Consuela can drive and still be in budget.

Let number of miles she can drive be $x$

Rental Company Charges for per day $\times$ number of days + Additional Cost per mile $\times$ Number of miles she can drive sholud be less than or equal to Consuela Budget

Now the equation will be.

$10\times 70 +0.3x \leq 250\\70 +0.3 x\leq 250\\0.3x\leq 250-70\\0.3x\leq 180\\x\leq \frac{180}{0.3}\\\\x\leq 600 \ miles$

Hence Consuela can drive maximum of 600 miles to stay within her budget.

4 0

3 years ago

F(x)= 3x^2+5x-8. Solve the quadratic equation

7nadin3 [17]

Answer:

$\bold{x_1=1\ ,\quad x_2=-\dfrac83}$

Step-by-step explanation:

$3x^2+5x-8=0\quad\implies\quad a=3\,,\ b=5\,,\ c=-8\\\\x=\dfrac{-5\pm\sqrt{5^2-4(3)(-8)}}{2\cdot3}=\dfrac{-5\pm\sqrt{25+96}}{6}=\dfrac{-5\pm\sqrt{121}}{6}\\\\ x_1=\dfrac{-5+11}{6}=1\ ,\qquad x_2=\dfrac{-5-11}{6}=\dfrac{-16}6=-\dfrac83$

7 0

3 years ago

Solve 14(0.89)x+4.5 =162

dedylja [7]

So the first thing to do is to simplify both sides of this equation:
12.46x+4.5=162
Next we shall subtract 4.5 from both sides so:
12.46x+4.5−4.5=162−4.512.46x=157.5
Now that we are done with all those steps now here is the final steps so now we shall divide both sides by 12.46:
12.46x/12.46 = 157.5/12.46
Ok so your final answer shall be:
x=12.640449
I hope this helps you greatly!

6 0

3 years ago

Read 2 more answers

Need answer ASAP *MARKING BRAINLIEST

vazorg [7]

Answer:

38.94924555

38.95

Step-by-step explanation:

8 0

3 years ago

What is arc BC equal to?

vodka [1.7K]

Lines BC are equal to or congruent to AD, because the tick marks show they are equal to each other in size. Therefore, they are congruent.

5 0

3 years ago